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Finding the Third Proportional to 13,289 and 18,055.50

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Solution

The third proportional to 13,289 and 18,055.50 is: 24,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289 : 18,055.50 = 18,055.50 : x
  2. Step 2: Convert to fraction form
    13,289/18,055.50 = 18,055.50/x
  3. Step 3: Cross multiply
    13,289x = 18,055.50 × 18,055.50
  4. Step 4: Simplify right side
    13,289x = 326,001,080.25
  5. Step 5: Solve for x
    x = 326,001,080.25/13,289
  6. Step 6: Final answer
    x = 24,531.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.